1. Properties of the uniform, normal, and exponential distributions Aa Aa Suppos
ID: 3060437 • Letter: 1
Question
1. Properties of the uniform, normal, and exponential distributions Aa Aa Suppose that x1 is a uniformly distributed random variable, x2 is a normally distributed random variable, and x3 is an exponentially distributed random variable. For each of the following statements, indicate whether it applies to x1, x2, and/or x3. Check all that apply. x2 x3 (uniform) (normal) (exponential) The area under the graph of the probability density function to the right of the mean equals 0.5. Probabilities are given by areas under the graph of the probability density function f(x) x is the uncertain time or space interval between consecutive events in a Poisson process.Explanation / Answer
a) x2-Normal ( because in normal distributions area to the left and right of z is 0.5)
b) x1-Uniform (In unform area given by two numbers)
c) x3-Exponential ( It is expoential Distribution)
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